On Lieb-Robinson Bounds for the Bose-Hubbard Model

We consider the dynamics of the Bose-Hubbard model on general lattices and prove a Lieb-Robinson bound for observables whose supports are separated by an initially almost particle-free region. We further obtain a maximal velocity bound for particle transport through an initially empty region which also applies to long-range hopping. Our techniques originate in the proofs of maximal velocity bounds for Schrodinger operators and scattering theory in non-relativistic QED.

Automated summary

The dynamics of the Bose-Hubbard model on general lattices are considered, and a Lieb-Robinson bound is proved for observables with separated supports. A maximal velocity bound for particle transport through an initially empty region is obtained, extending to long-range hopping. The techniques used originate in the proofs of maximal velocity bounds for Schrodinger operators and scattering theory in non-relativistic QED.